Greatest Common Factor of 5010 and 5014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5010, 5014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5010 and 5014 is 2.

GCF(5010,5014) = 2

GCF of 5010 and 5014

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5010 and 5014

GCF of 5010 and 5014 is 2

Prime Factorization of 5010


2 5010
3 2505
5 835
167 167
1

Prime factors of 5010 are 2,3,5,167. Prime factorization of 5010 in exponential form is:

5010 = 21×31×51×1671

Prime Factorization of 5014


2 5014
23 2507
109 109
1

Prime factors of 5014 are 2,23,109. Prime factorization of 5014 in exponential form is:

5014 = 21×231×1091

∴ So by taking common prime factors GCF of 5010 and 5014 is 2

Greatest Common Factor of 5010 and 5014 by matching factors method

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1,2,23,46,109,218,2507,5014

Greatest Common Factor

We found the factors and prime factorization of 5010 and 5014. The biggest common factor number is the GCF number.
So the greatest common factor 5010 and 5014 is 2.

Also check out the Least Common Multiple of 5010 and 5014

Properties of GCF 5010 and 5014

(i) The GCF of 5010 and 5014 is associative

GCF of 5010 and 5014 = GCF of 5014 and 5010

Related Greatest Common Factor of 5010

Related Greatest Common Factor of 5014

Frequently Asked Questions on GCF of 5010 and 5014

1. What is the GCF of 5010 and 5014?

Answer: GCF of 5010 and 5014 is 2.

2. What are the Factors of 5010?

Answer: Factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010. There are 16 integers that are factors of 5010. The greatest factor of 5010 is 5010.

3. What are the Factors of 5014?

Answer: Factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014. There are 8 integers that are factors of 5014. The greatest factor of 5014 is 5014.

4. How to Find the GCF of 5010 and 5014?

Answer:

Greatest Common Factor of 5010 and 5014 = 2

Step 1: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 5014

5014 = 2 x 23 x 109

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5010 and 5014 is 2